Question

Look at the pic please

Answer 1

Since we know the slope of the line and a point that passes through it, we can use the point-slope form formula to determine the equation of the line.

Point slope form formula:

$\text{ y - (y-coordinate of point) = slope(x - x-coordinate of point)}$

We are given the following:

$\bullet \ \ \text{Slope of line = -3}$

$\bullet \ \ \text{Line passes through (2, 4)} \implies \text{x-coordinate of point = 2; y-coordinate of point = 4}$

When we substitute the values into the formula, we get;

$\implies y - (4) = -3(x - 2)}$

$\implies \boxed{y - 4 = -3(x - 2) \ \ (\text{Option B})}$

Therefore, option B is correct.